This report documents the program and the outcomes of Dagstuhl Seminar "Triangulations in Geometry and Topology" (24072). The seminar was held from February 12 to February 16, 2024, gathered 31 participants, and started with four introductory talks and an open problem session. Then the participants spread into small groups to work on open problems on diverse topics including reconfiguration of geometric shapes, geodesics on triangulated surfaces, distances in flip graphs, geometric cycles and algorithms in 3-manifold topology.
@Article{buchin_et_al:DagRep.14.2.120, author = {Buchin, Maike and Cardinal, Jean and de Mesmay, Arnaud and Spreer, Jonathan and He, Alex}, title = {{Triangulations in Geometry and Topology (Dagstuhl Seminar 24072)}}, pages = {120--163}, journal = {Dagstuhl Reports}, ISSN = {2192-5283}, year = {2024}, volume = {14}, number = {2}, editor = {Buchin, Maike and Cardinal, Jean and de Mesmay, Arnaud and Spreer, Jonathan and He, Alex}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagRep.14.2.120}, URN = {urn:nbn:de:0030-drops-205017}, doi = {10.4230/DagRep.14.2.120}, annote = {Keywords: computational geometry, geometric topology, triangulations} }
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